SHOCK-WAVES IN THE MODIFIED KORTEWEG-DE VRIES-BURGERS EQUATION

被引：13
作者：
BIKBAEV, RF
机构：
[1] St. Petersburg Branch of The Steklov Mathematical Institute, Russian Academy of Sciences, St. Petersburg, 191011
来源：
JOURNAL OF NONLINEAR SCIENCE | 1995年 / 5卷 / 01期
关键词：
SHOCK WAVES; INSTABILITY; ATTRACTOR; VISCOUS REGULARIZATION;
D O I：
10.1007/BF01869099
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The asymptotics as t --> + infinity of shock waves of the modified Korteweg-de Vries-Burgers (MKdV-B) equation is investigated. An attractor interpretation of shock problems for integrable systems is presented and some problems of nonlinear stability are discussed. The MKdV-B equation is considered as a nonconservative perturbation of the integrable modified Korteweg-de Vries (MKdV) equation. The MKdV equation considered here has a non-self-adjoint Lax pair. In spite of this difficulty, a complex Whitham deformation is constructed.
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页码：1 / 10
页数：10
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